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A group of adults and students went on a class trip to Washington, DC. The number of male students was 1 more than 7 times the number of adults. The number of female students was half the number of male students. If the total number of people who went on the trip is 82, find the numbers of male students and female students.

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There were A adults, Sm male students, and Sf female students. 
 
Sm = 1 + 7A 
Sf = Sm/2 
A + Sm + Sf = 82 

A + (1 + 7A) + (1 + 7A)/2 = 82 
2A + 2 + 14A + 1 + 7A = 164 
23A + 3 = 164 
23A = 141 
A = 7 

The number of male students is 50. 
The number of female students is 25.

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